Your teacher will grade your response to ensure that you receive proper credit for your answer.
Write a paragraph proof of Theorem 3-8: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
The information and diagram for a two column proof is shown.
Statement | Reason
-------------------------------------------------------------
1. Two lines, m and n, are perpendicular | Given
to line l.
2. Angle A and Angle B are right angles. | Definitions of perpendicular lines
3. Angle A = Angle B. | Right angles are congruent
4. If two angles are congruent and a line | Angles in the same plane with the
intersects them, then the lines are | same measure are parallel.
parallel. | (Theorem 3-3)
5. m || n. | Lines m and n are parallel.